To analyze the statement about Colin's survey results, let’s summarize the data first:
- Math: 14 students
- Language Arts: 7 students
- Earth Science: 10 students
- Life Science: 11 students
Now, let's calculate the totals for Science and Math fans:
Total Science Fans:
- Earth Science: 10 students
- Life Science: 11 students
- Total Science Fans = 10 + 11 = 21 students
Total Math and Science Fans:
- Math: 14 students
- Total Science Fans: 21 students
- Total Math and Science Fans = 14 + 21 = 35 students
Now, let's evaluate each statement:
-
The ratio of science fans to language arts fans is 10:7.
- Science fans = 21, Language Arts fans = 7.
- Ratio = 21:7, which simplifies to 3:1 (not 10:7). This statement is false.
-
The ratio of language arts fans to science fans is 1:3.
- Language Arts fans = 7, Science fans = 21.
- Ratio = 7:21, which simplifies to 1:3. This statement is true.
-
The ratio of math and science fans to language arts fans is 24:7.
- Math and Science fans = 35, Language Arts fans = 7.
- Ratio = 35:7, which simplifies to 5:1 (not 24:7). This statement is false.
-
The ratio of language arts fans to math and science fans is 5:1.
- Language Arts fans = 7, Math and Science fans = 35.
- Ratio = 7:35, which simplifies to 1:5 (not 5:1). This statement is false.
Thus, the only true statement is:
The ratio of language arts fans to science fans is 1:3.
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